Friday 26th of April 2024
 

Independent Component Analysis Using Random Projection For Data Pre-Processing


Adeel Ansari, Afza Bt Shafie and Abas B Md Said

There is an inherent difficulty of finding out latent structures within high dimensional data repository centers. It is assumed that this data is generated by these unknown latent variables and with the relationship and interaction between each of them. The task is to find these latent variables and the way they interact, given the observed data only. It is assumed that the latent variables do not depend on each other but act independently. A popular method for counteracting with the above stated problem scenario is independent component analysis (ICA). An ICA algorithm for analyzing complex valued signals is given; and an ICA-type algorithm is used for analyzing the topics in dynamically changing text data. Experimental results are given on all of the presented methods. Another, partially overlapping problem considered in this paper is dimensionality reduction. Empirical validation is given on a computationally simple method called random projection: it does not introduce severe distortions in the data. It is also proposed that random projection could be used as a preprocessing method prior to ICA, and experimental results are shown to support this claim.

Keywords: Data Mining, Random Projection, Independent Component Analysis, ICA, RP.

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ABOUT THE AUTHORS

Adeel Ansari
Adeel Ansari is a researcher at the Universiti Teknologi PETRONAS University in Malaysia. His area of expertise are in the field of signal processing and data mining.

Afza Bt Shafie
Dr. Afza is a senior lecturer at the Universiti Teknologi PETRONAS University in Malaysia. Her research area and expertise are in the area of Fundamental mathematics and Applied Sciences. She has a number of publications in the field of CSEM - Seabed Logging Application.

Abas B Md Said
Dr. Abas is an Associate Professor at the Universiti Technologi PETRONAS University in Malaysia. His research area and expertise are in the field of computer graphics, Networking and signal processing algorithms. He has a number of publications in the field of Computer Information Sciences.


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